Grover's Algorithm and Many-Valued Quantum Logic

• URL: http://arxiv.org/abs/2001.06316v1
• Date: Fri, 17 Jan 2020 14:02:50 GMT
• Title: Grover's Algorithm and Many-Valued Quantum Logic
• Authors: Samuel Hunt and Maximilien Gadouleau
• Abstract summary: We investigate Grover's algorithm under a generalised quantum circuit model. We analyse the structural and behavioural properties while preserving the semantics. We conclude by demonstrating that the generalised procedure retains $O(sqrtN)$ time complexity.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: As the engineering endeavour to realise quantum computers progresses, we consider that such machines need not rely on binary as their de facto unit of information. We investigate Grover's algorithm under a generalised quantum circuit model, in which the information and transformations can be expressed in any arity, and analyse the structural and behavioural properties while preserving the semantics; namely, searching for the unique preimage to an output a function. We conclude by demonstrating that the generalised procedure retains $O(\sqrt{N})$ time complexity.

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